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Harper uploaded a funny video of her dog onto a website.
The relationship between the elapsed time,
d, in days, since the video was first uploaded, and the total number of views,
V(d), that the video received is modeled by the following function.

V(d)=4^(1.25 d)
How many views will the video receive after 6 days?
Round your answer, if necessary, to the nearest hundredth.
views

Harper uploaded a funny video of her dog onto a website. $\newline$ The relationship between the elapsed time, $d$ , in days, since the video was first uploaded, and the total number of views, $V(d)$ , that the video received is modeled by the following function. $\newline$ $V(d)=4^{1.25 d}$ $\newline$ How many views will the video receive after $6$ days? $\newline$ Round your answer, if necessary, to the nearest hundredth. $\newline$ views

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Weighted averages: word problems

Full solution

Q. Harper uploaded a funny video of her dog onto a website.

\newline

The relationship between the elapsed time,

d

, in days, since the video was first uploaded, and the total number of views,

V(d)

, that the video received is modeled by the following function.

\newline

V(d)=4^{1.25 d}

\newline

How many views will the video receive after

6

days?

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

views

Identify Function: Identify the function that models the total number of views. $\newline$ The function given is $V(d) = 4^{1.25d}$ , where $d$ is the number of days since the video was uploaded.
Substitute Value: Substitute the value of $d$ with $6$ days into the function to calculate the number of views. $V(6) = 4^{1.25 \times 6}$
Perform Calculation: Perform the calculation for the exponent. $1.25 \times 6 = 7.5$
Calculate Exponent: Calculate $4$ raised to the power of $7.5$ to find the total number of views. $\newline$ $V(6) = 4^{7.5}$
Use Calculator: Use a calculator to find the value of $4^{7.5}$ . $\newline$ $V(6) \approx 4^{7.5} \approx 178506.25$
Round Answer: Round the answer to the nearest hundredth as instructed. $\newline$ The rounded number of views after $6$ days is approximately $178506.25$ , which is already to the nearest hundredth.

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